TSTP Solution File: LCL684+1.001 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL684+1.001 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 00:22:00 EDT 2024

% Result   : Theorem 0.50s 0.69s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   6 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  111 (  59   ~;  33   |;  18   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   29 (  22   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(subsumption_resolution,[],[f20,f17]) ).

fof(f17,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(f20,plain,
    ~ r1(sK0,sK0),
    inference(subsumption_resolution,[],[f19,f15]) ).

fof(f15,plain,
    p101(sK0),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ( p101(sK0)
    & p201(sK0)
    & ! [X1] :
        ( ! [X2] :
            ( ~ p101(X2)
            | ~ p201(X2)
            | ~ r1(X1,X2) )
        | ~ r1(sK0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f11]) ).

fof(f11,plain,
    ( ? [X0] :
        ( p101(X0)
        & p201(X0)
        & ! [X1] :
            ( ! [X2] :
                ( ~ p101(X2)
                | ~ p201(X2)
                | ~ r1(X1,X2) )
            | ~ r1(X0,X1) ) )
   => ( p101(sK0)
      & p201(sK0)
      & ! [X1] :
          ( ! [X2] :
              ( ~ p101(X2)
              | ~ p201(X2)
              | ~ r1(X1,X2) )
          | ~ r1(sK0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ? [X0] :
      ( p101(X0)
      & p201(X0)
      & ! [X1] :
          ( ! [X2] :
              ( ~ p101(X2)
              | ~ p201(X2)
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) ) ),
    inference(flattening,[],[f7]) ).

fof(f7,plain,
    ? [X0] :
      ( p101(X0)
      & p201(X0)
      & ! [X1] :
          ( ! [X2] :
              ( ~ p101(X2)
              | ~ p201(X2)
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ? [X0] :
      ~ ( ~ ( p101(X0)
            & p201(X0) )
        | ~ ! [X1] :
              ( ! [X2] :
                  ( ~ ( p101(X2)
                      & p201(X2) )
                  | ~ r1(X1,X2) )
              | ~ r1(X0,X1) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ( p101(X0)
                & p201(X0) )
            | ~ ! [X1] :
                  ( ! [X2] :
                      ( ~ ( p101(X2)
                          & p201(X2) )
                      | ~ r1(X1,X2) )
                  | ~ r1(X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ( p101(X0)
                & p201(X0) )
            | ~ ! [X1] :
                  ( ! [X0] :
                      ( ~ ( p101(X0)
                          & p201(X0) )
                      | ~ r1(X1,X0) )
                  | ~ r1(X0,X1) ) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ~ ? [X0] :
        ~ ( ~ ( p101(X0)
              & p201(X0) )
          | ~ ! [X1] :
                ( ! [X0] :
                    ( ~ ( p101(X0)
                        & p201(X0) )
                    | ~ r1(X1,X0) )
                | ~ r1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(f19,plain,
    ( ~ r1(sK0,sK0)
    | ~ p101(sK0) ),
    inference(subsumption_resolution,[],[f18,f14]) ).

fof(f14,plain,
    p201(sK0),
    inference(cnf_transformation,[],[f12]) ).

fof(f18,plain,
    ( ~ r1(sK0,sK0)
    | ~ p201(sK0)
    | ~ p101(sK0) ),
    inference(factoring,[],[f13]) ).

fof(f13,plain,
    ! [X2,X1] :
      ( ~ r1(sK0,X1)
      | ~ p201(X2)
      | ~ r1(X1,X2)
      | ~ p101(X2) ),
    inference(cnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : LCL684+1.001 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon May 20 01:19:53 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_EPR_NEQ problem
% 0.12/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/0.68  % (8993)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.50/0.69  % (8993)First to succeed.
% 0.50/0.69  % (8996)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.50/0.69  % (8998)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.50/0.69  % (8993)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8992"
% 0.50/0.69  % (9000)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.50/0.69  % (8996)Also succeeded, but the first one will report.
% 0.50/0.69  % (9000)Also succeeded, but the first one will report.
% 0.50/0.69  % (8993)Refutation found. Thanks to Tanya!
% 0.50/0.69  % SZS status Theorem for theBenchmark
% 0.50/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 0.50/0.69  % (8993)------------------------------
% 0.50/0.69  % (8993)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.69  % (8993)Termination reason: Refutation
% 0.50/0.69  
% 0.50/0.69  % (8993)Memory used [KB]: 970
% 0.50/0.69  % (8993)Time elapsed: 0.002 s
% 0.50/0.69  % (8993)Instructions burned: 2 (million)
% 0.50/0.69  % (8992)Success in time 0.337 s
% 0.50/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------